This is the HOL4 answer to the question.

If you know the name and theory of the constant, then

    prim_mk_const {Thy = thy, Name = name}

will give you back the constant “as defined”.  So that

    type_of (prim_mk_const {Thy = "min", Name = "="})

gives back

    val it = ``:α -> α -> bool``: hol_type

To get the name and theory of a constant, you can call

    dest_thy_const : term -> {Thy:string,Name:string,Ty:hol_type}

I hope this helps,
Michael


On 25 Sep 2014, at 6:40 am, Benja Fallenstein <[email protected]> 
wrote:

> Hi all,
>
> I'm wondering whether there is a way to get the original type of a 
> polymorphic constant -- e.g., given
>
> c = ``$= : num -> num -> bool``
>
> is there a way to obtain the most general type ``:'a -> 'a -> bool`` of the 
> constant ``$=``?
>
> Thanks!
> - Benja
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